Preface; 1. Model problems; 2. Basic iterative methods; 3. Elements of multigrid; 4. Implementation; 5. Some theory; 6. Nonlinear problems; 7. Selected applications; 8. Algebraic multigrid (AMG); 9. Multilevel adaptive methods; 10. Finite elements; Bibliography; Index.
This second edition of the popular first preserves its introductory spirit while roughly doubling the amount of material covered.
William L. Briggs is Professor of Mathematics at the
University of Colorado at Denver. He is the coauthor of The DFT: An
Owner's Manual for the Discrete Fourier Transform (SIAM, 1995)
along with Van Emden Henson.
Van Emden Henson is Numerical Methods Group Leader of the
Center for Applied Scientific Computing at Lawrence Livermore
National Laboratory. He specializes in multigrid, especially
algebraic and nonlinear multigrid, on massively parallel
computers.
Steve McCormick is Professor of Applied Mathematics at the
University of Colorado at Boulder. His research interests include
multigrid methods and first-order system least squares (FOSLS) for
solving partial differential equations. He is the author of
Multigrid Methods (SIAM, 1987), Multilevel Adaptive Methods for
Partial Differential Equations (SIAM, 1989), and Multilevel
Projection Methods for Partial Differential Equations (SIAM, 1992).
'This is a great book for students. I taught a one-semester course in multilevel methods, and used this book for half of the material. I'm a very happy customer. The exposition is clear and well motivated. There is just the right amount of theory. The authors have gone out of their way to make it easy for a student to implement the methods, see their performance, and do their own experiments. The problems in the book are thoughtfully designed. My students really enjoyed the book.' C. T. Kelley, North Carolina State University 'The whole tutorial has a clear and easily accessible exposition; meanwhile it is suitably arranged so that the layout can be a useful guide for implementation of challenging research problems.' Mohammad Asadzadeh, S-CAL; Goteborg, Mathematical Reviews
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